Suppose you know that the distribution of the sample proportions of non residents in samples of 200 students is normal with a mean of 0.46 and a standard deviation of 0.04. Supose you select a random sample of 200 students and find that the proportion of non resident students in the sample is 0.44.
- How many standard deviations is the sample proportion from the mean of the distribution of sample proportions?
- What is the probability that a second sample selected would have a proportion less than 0.44?